%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:00:45 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 4 unt; 0 def)
% Number of atoms : 449 ( 47 equ)
% Maximal formula atoms : 294 ( 10 avg)
% Number of connectives : 675 ( 269 ~; 316 |; 77 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 103 ( 1 sgn 51 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& rr1(X4,X5) )
& ~ ? [X9,X10] :
( X9 != X10
& rr(X4,X10)
& rr(X4,X9) )
& ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& rr2(X4,X5) )
& ? [X5] :
( ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& ? [X6] :
( ce(X6)
& rt3(X5,X6) )
& rr3(X4,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_8,axiom,
! [X4,X5] :
( rr1(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rr2(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rt1(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rt2(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_5,axiom,
! [X4] :
~ ( cd(X4)
& cc(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(c_0_7,plain,
! [X4] :
( epred1_1(X4)
<=> ( ~ ? [X9,X10] :
( X9 != X10
& rr(X4,X10)
& rr(X4,X9) )
& ? [X5] :
( ? [X6] :
( cd(X6)
& rt2(X5,X6) )
& ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& rr2(X4,X5) )
& ? [X5] :
( ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& ? [X6] :
( ce(X6)
& rt3(X5,X6) )
& rr3(X4,X5) ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( ? [X6] :
( cc(X6)
& rt1(X5,X6) )
& ! [X7,X8] :
( ( rtt(X5,X8)
& rtt(X5,X7) )
=> X7 = X8 )
& rr1(X4,X5) )
& epred1_1(X4) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2]),c_0_7]) ).
fof(c_0_9,plain,
! [X93,X94] :
( rr(X93,X94)
| ~ rr1(X93,X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
fof(c_0_10,plain,
! [X79,X81,X82,X84,X85,X88] :
( ( cUnsatisfiable(X84)
| ~ epred1_1(X84)
| ~ cc(X88)
| ~ rt1(X85,X88)
| ~ rr1(X84,X85)
| esk3_2(X84,X85) != esk4_2(X84,X85) )
& ( cUnsatisfiable(X84)
| ~ epred1_1(X84)
| ~ cc(X88)
| ~ rt1(X85,X88)
| ~ rr1(X84,X85)
| rtt(X85,esk4_2(X84,X85)) )
& ( cUnsatisfiable(X84)
| ~ epred1_1(X84)
| ~ cc(X88)
| ~ rt1(X85,X88)
| ~ rr1(X84,X85)
| rtt(X85,esk3_2(X84,X85)) )
& ( ~ cUnsatisfiable(X79)
| cc(esk2_1(X79)) )
& ( ~ cUnsatisfiable(X79)
| rt1(esk1_1(X79),esk2_1(X79)) )
& ( ~ cUnsatisfiable(X79)
| X81 = X82
| ~ rtt(esk1_1(X79),X82)
| ~ rtt(esk1_1(X79),X81) )
& ( ~ cUnsatisfiable(X79)
| rr1(X79,esk1_1(X79)) )
& ( ~ cUnsatisfiable(X79)
| epred1_1(X79) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_11,plain,
! [X105,X108,X109,X111,X112,X114,X115,X116,X117,X118,X121,X124] :
( ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk10_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk12_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| esk13_1(X116) != esk14_1(X116) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk14_1(X116)) )
& ( epred1_1(X116)
| ~ ce(X118)
| ~ rt3(X117,X118)
| ~ rr3(X116,X117)
| rtt(X117,esk9_2(X116,X117))
| ~ cd(X124)
| ~ rt2(X121,X124)
| ~ rr2(X116,X121)
| rtt(X121,esk11_2(X116,X121))
| rr(X116,esk13_1(X116)) )
& ( ~ epred1_1(X105)
| X114 = X115
| ~ rr(X105,X115)
| ~ rr(X105,X114) )
& ( ~ epred1_1(X105)
| cd(esk8_1(X105)) )
& ( ~ epred1_1(X105)
| rt2(esk7_1(X105),esk8_1(X105)) )
& ( ~ epred1_1(X105)
| X111 = X112
| ~ rtt(esk7_1(X105),X112)
| ~ rtt(esk7_1(X105),X111) )
& ( ~ epred1_1(X105)
| rr2(X105,esk7_1(X105)) )
& ( ~ epred1_1(X105)
| X108 = X109
| ~ rtt(esk5_1(X105),X109)
| ~ rtt(esk5_1(X105),X108) )
& ( ~ epred1_1(X105)
| ce(esk6_1(X105)) )
& ( ~ epred1_1(X105)
| rt3(esk5_1(X105),esk6_1(X105)) )
& ( ~ epred1_1(X105)
| rr3(X105,esk5_1(X105)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).
cnf(c_0_12,plain,
( ~ rr1(X1,X2)
| rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ cUnsatisfiable(X1)
| rr1(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ epred1_1(X1)
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ cUnsatisfiable(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X95,X96] :
( rr(X95,X96)
| ~ rr2(X95,X96) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).
cnf(c_0_18,plain,
( ~ cUnsatisfiable(X2)
| ~ rr(X2,X1)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
( ~ rr2(X1,X2)
| rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X97,X98] :
( rtt(X97,X98)
| ~ rt1(X97,X98) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
cnf(c_0_21,plain,
( ~ cUnsatisfiable(X2)
| ~ rr2(X2,X1)
| X1 = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( ~ epred1_1(X1)
| rr2(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( ~ rt1(X1,X2)
| rtt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( ~ cUnsatisfiable(X1)
| rt1(esk1_1(X1),esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_25,plain,
! [X99,X100] :
( rtt(X99,X100)
| ~ rt2(X99,X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).
cnf(c_0_26,plain,
( ~ epred1_1(X1)
| rt2(esk7_1(X1),esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,plain,
( ~ cUnsatisfiable(X1)
| esk7_1(X1) = esk1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
cnf(c_0_28,plain,
( ~ cUnsatisfiable(X1)
| ~ rtt(esk1_1(X1),X3)
| ~ rtt(esk1_1(X1),X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( ~ cUnsatisfiable(X1)
| rtt(esk1_1(X1),esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( ~ rt2(X1,X2)
| rtt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( ~ cUnsatisfiable(X1)
| rt2(esk1_1(X1),esk8_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_16]) ).
fof(c_0_32,plain,
! [X90] :
( ~ cd(X90)
| ~ cc(X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_33,plain,
( ~ cUnsatisfiable(X2)
| ~ rtt(esk1_1(X2),X1)
| X1 = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( ~ cUnsatisfiable(X1)
| rtt(esk1_1(X1),esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( ~ cd(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( ~ cUnsatisfiable(X1)
| cc(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,plain,
( ~ epred1_1(X1)
| cd(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,plain,
( ~ cUnsatisfiable(X1)
| esk8_1(X1) = esk2_1(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( ~ cUnsatisfiable(X1)
| ~ cd(esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(split_conjunct,[status(thm)],[axiom_4]) ).
cnf(c_0_41,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_16]),c_0_39]) ).
cnf(c_0_42,plain,
$false,
inference(sr,[status(thm)],[c_0_40,c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:53:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 371125 completed with status 0
% 0.10/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.45 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 371135 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Preprocessing time : 0.002 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 39
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 86
% 0.10/0.45 % Removed in clause preprocessing : 26
% 0.10/0.45 % Initial clauses in saturation : 60
% 0.10/0.45 % Processed clauses : 53
% 0.10/0.45 % ...of these trivial : 0
% 0.10/0.45 % ...subsumed : 2
% 0.10/0.45 % ...remaining for further processing : 51
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 23
% 0.10/0.45 % Backward-rewritten : 0
% 0.10/0.45 % Generated clauses : 43
% 0.10/0.45 % ...of the previous two non-redundant : 39
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 9
% 0.10/0.45 % Paramodulations : 42
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 0
% 0.10/0.45 % ...of those cached : 0
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 27
% 0.10/0.45 % Positive orientable unit clauses : 1
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 2
% 0.10/0.45 % Non-unit-clauses : 24
% 0.10/0.45 % Current number of unprocessed clauses: 46
% 0.10/0.45 % ...number of literals in the above : 336
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 25
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 1092
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 912
% 0.10/0.45 % Non-unit clause-clause subsumptions : 11
% 0.10/0.45 % Unit Clause-clause subsumption calls : 47
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 0
% 0.10/0.45 % BW rewrite match successes : 0
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 6291
% 0.10/0.45 % Search garbage collected termcells : 1294
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.008 s
% 0.10/0.45 % System time : 0.004 s
% 0.10/0.45 % Total time : 0.012 s
% 0.10/0.45 % Maximum resident set size: 3936 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.027 s
% 0.10/0.45 % System time : 0.021 s
% 0.10/0.45 % Total time : 0.048 s
% 0.10/0.45 % Maximum resident set size: 4864 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------